Converting 36.2 to a Fraction
Step-by-step explanation of how to convert 36.2 to a fraction

Result

36.2 =
181
5
Mixed number:
36
1
5

Step 1: Identify the number of decimal places

The decimal 36.2 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

36.2 × 10 = 362

Step 3: Write as a fraction

36.2 =

362
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 362 and 10.

GCD(362, 10) = 2

Divide both the numerator and denominator by the GCD:

362
10

=

362 ÷ 2
10 ÷ 2

=

181
5
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